The relation $R$ defined on the set of natural numbers as $\{(a, b) : a$ differs from $b$ by $3\}$, is given by
$\{(1, 4, (2, 5), (3, 6),.....\}$
$\{(4, 1), (5, 2), (6, 3),.....\}$
$\{(1, 3), (2, 6), (3, 9),..\}$
None of these
Given two finite sets $A$ and $B$ such that $n(A) = 2, n(B) = 3$. Then total number of relations from $A$ to $B$ is
Let $R$ be the relation on $Z$ defined by $R = \{ (a,b):a,b \in Z,a - b$ is an integer $\} $ Find the domain and range of $R .$
Let $X = \{ 1,\,2,\,3,\,4,\,5\} $ and $Y = \{ 1,\,3,\,5,\,7,\,9\} $. Which of the following is/are relations from $X$ to $Y$
Let $R$ be a relation from $N$ to $N$ defined by $R =\left\{(a, b): a, b \in N \text { and } a=b^{2}\right\} .$ Are the following true?
$(a, b) \in R ,(b, c) \in R$ implies $(a, c) \in R$
Let $R$ be a relation from $N$ to $N$ defined by $R =\left\{(a, b): a, b \in N \text { and } a=b^{2}\right\} .$ Are the following true?
$(a, b) \in R,$ implies $(b, a) \in R$